The generator matrix

 1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  3  1  1  1  3
 0  3  0  9 24 21  3 15 24  9  9 15 12 15 24 21 18 12  6  6 21  0 21  9 18 12  6  0  0
 0  0  3 15  9  6  3 21 15  0  6 18 24 12 24 12 24  3 12  6 18 18  9  9 24  0 21  9 21

generates a code of length 29 over Z27 who´s minimum homogenous weight is 54.

Homogenous weight enumerator: w(x)=1x^0+194x^54+324x^56+276x^57+486x^58+648x^59+132x^60+80x^63+30x^66+12x^69+2x^72+2x^81

The gray image is a code over GF(3) with n=261, k=7 and d=162.
This code was found by Heurico 1.16 in 0.0158 seconds.